DSpace@Çankaya

Yazar "Rabei, Eqab M." için listeleme

Yazar "Rabei, Eqab M." için listeleme

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  • Comment On "Maxwell's Equations And Electromagnetic Lagrangian Density in Fractional Form" [J. Math. Phys. 53, 033505 ( 2012)] 
    Rabei, Eqab M.; Al-Jamel, A.; Widyan, H.; Baleanu, Dumitru (Amer Inst Physics, 2014-03)
    In a recent paper, Jaradat et al. [J. Math. Phys. 53, 033505 (2012)] have presented the fractional form of the electromagnetic Lagrangian density within the Riemann-Liouville fractional derivative. They claimed that the ...
  • Extension of perturbation theory to quantum systems with conformable derivative 
    Al-Masaeed, Mohamed; Rabei, Eqab M.; Al-Jamel, Ahmed; Baleanu, Dumitru (2021-10-20)
    In this paper, the perturbation theory is extended to be applicable for systems containing conformable derivative of fractional order α. This is needed as an essential and powerful approximation method for describing systems ...
  • Fractional Hamilton's equations of motion in fractional time 
    Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab M. (De Gruyter Open LTD, 2007-12)
    The Hamiltonian formulation for mechanical systems containing Riemman-Liouville fractional derivatives are investigated in fractional time. The fractional Hamilton's equations are obtained and two examples are investigated ...
  • Fractional mechanics on the extended phase space 
    Baleanu, Dumitru; Muslih, Sami I.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Rabei, Eqab M. (Amer Soc Mechanical Engineers, 2010)
    Fractional calculus has gained a lot of importance and potential applications in several areas of science and engineering. The fractional dynamics and the fractional variational principles started to be used intensively ...
  • Fractional WKB approximation 
    Rabei, Eqab M.; Altarazi, İbrahim M. A.; Muslih, Sami I.; Baleanu, Dumitru (Springer, 2009-07)
    Wentzel-Kramer-Brillouin (WKB) approximation for fractional systems is investigated in this paper using the fractional calculus. In the fractional case, the wave function is constructed such that the phase factor is the ...
  • Gravitational potential in fractional space 
    Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab M. (Versita, 2007-09)
    In this paper the gravitational potential with beta-th order fractional mass distribution was obtained in a dimensionally fractional space. We show that the fractional gravitational universal constant G(alpha) is given by ...
  • Hamilton formulation for continuous systems with second order derivatives 
    El-Zalan, Hosam A.; Muslih, Sami I.; Rabei, Eqab M.; Baleanu, Dumitru (Springer/Plenum Publishers, 2008-09)
    In this paper the Hamilton formulation for continuous systems with second order derivatives has been developed. We generalized the Hamilton formulation for continuous systems with second order derivatives and apply this ...
  • Hamilton-Jacobi and fractional like action with time scaling 
    Herzallah, Mohamed A. E.; Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab M. (Springer, 2011-12)
    This paper represents the Hamilton-Jacobi formulation for fractional variational problem with fractional like action written as an integration over a time scaling parameter. Also we developed the fractional Hamiltonian ...
  • Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives 
    Rabei, Eqab M.; Rawashdeh, Ibrahim M.; Muslih, Sami I.; Baleanu, Dumitru (Springer/Plenum Publishers, 2011-05)
    The paper presents fractional Hamilton-Jacobi formulations for systems containing Riesz fractional derivatives (RFD's). The Hamilton-Jacobi equations of motion are obtained. An illustrative example for simple harmonic ...
  • Hamilton-Jacobi formulation of systems within Caputo's fractional derivative 
    Rabei, Eqab M.; Almayteh, Ibtesam; Muslih, Sami I.; Baleanu, Dumitru (IOP Publishing Ltd, 2008-01)
    A new fractional Hamilton-Jacobi formulation for discrete systems in terms of fractional Caputo derivatives was developed. The fractional action function is obtained and the solutions of the equations of motion are recovered. ...
  • Heisenberg's equations of motion with fractional derivatives 
    Rabei, Eqab M.; Tarawneh, Derar M.; Muslih, Sami I.; Baleanu, Dumitru (Sage Publications Ltd, 2007-10)
    Fractional variational principles is a new topic in the field of fractional calculus and it has been subject to intense debate during the last few years. One of the important applications of fractional variational principles ...
  • Lagrangian formulation of Maxwell's field in fractional D dimensional space-time 
    Muslih, Sami I.; Sadallah, Madhat; Baleanu, Dumitru; Rabei, Eqab M. (Editura Acad Romane, 2010)
    The Lagrangian formulation for field systems is obtained in fractional space-time fractional dimensions D = D(space) + D(time). The equations of motion for Maxwell's field are obtained. It is shown that the form of Maxwell's ...
  • On fractional dynamics on the extended phase space 
    Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K. (Asme-Amer Soc Mechanical Engineering, 2010-10)
    Fractional calculus should be applied to various dynamical systems in order to be validated in practice. On this line of taught, the fractional extension of the classical dynamics is introduced. The fractional Hamiltonian ...
  • On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative 
    Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M. (Springer, 2008-07)
    Fractional mechanics describe both conservative and nonconservative systems. The fractional variational principles gained importance in studying the fractional mechanics and several versions are proposed. In classical ...
  • On fractional Hamilton formulation within Caputo derivatives 
    Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M. (Amer Soc Mechanical Engineers, 2008)
    The fractional Lagrangian and Hamiltonian dynamics is an important issue in fractional calculus area. The classical dynamics can be reformulated in terms of fractional derivatives. The fractional variational principles ...
  • On fractional Hamiltonian systems possessing first-class constraints within Caputo derivatives 
    Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K. (Editura Acad Romane, 2011)
    The fractional constrained systems possessing only first class constraints are analyzed within Caputo fractional derivatives. It was proved that the fractional Hamilton-Jacobi like equations appear naturally in the process ...
  • Path integral quantization of brownian motion as mechanical systems with fractional derivatives 
    Muslih, Sami I.; Rabei, Eqab M.; Baleanu, Dumitru (2006)
    In this paper, the mechanical systems with fractional derivatives are studied by using fractional formalism. The path integral quantization of these system is constructed as an integration over the canonical phase space. ...
  • Quantization of fractional systems using WKB approximation 
    Rabei, Eqab M.; Muslih, Sami I.; Baleanu, Dumitru (Elsevier Science, 2010-04)
    The Caputo's fractional derivative is used to quantize fractional systems using (WKB) approximation. The wave function is build such that the phase factor is the same as the Hamilton's principle function S. The energy ...
  • Solutions of massless conformal scalar field in an n-dimensional Einstein space 
    Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab M. (Jagiellonian Univ Press, 2008-04)
    In this paper the wave equation for massless conformal scalar field in an Einstein's n-dimensional universe is solved and the eigen frequencies are obtained. The special case for alpha = 4 is recovered and the results are ...
  • The Hamilton formalism with fractional derivatives 
    Rabei, Eqab M.; Nawafleh, Khaled I.; Hijjawi, Raed S.; Muslih, Sami I.; Baleanu, Dumitru (Academic Press Inc Elsevier Science, 2007-03-15)
    Recently the traditional calculus of variations has been extended to be applicable for systems containing fractional derivatives. In this paper the passage from the Lagrangian containing fractional derivatives to the ...